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Numerical Simulation and Stability Analysis for the Fractional-Order Dynamics of COVID-19

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TLDR
In this article, an efficient computational method based on discretization of the domain and memory principle is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed.
Abstract
The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost.

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An Emotion Care Model using Multimodal Textual Analysis on COVID-19.

TL;DR: In this paper, a novel emotion care scheme has been proposed in this paper to analyze multimodal textual data contained in real-time tweets related to COVID-19, where 8-scale emotions (Anger, Anticipation, Disgust, Fear, Joy, Sadness, Surprise, and Trust) over multiple categories such as nature, lockdown, health, education, market, and politics were analyzed.
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A numerical study of fractional order population dynamics model

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Modeling third waves of Covid-19 spread with piecewise differential and integral operators: Turkey, Spain and Czechia

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A mathematical model and numerical solution for brain tumor derived using fractional operator

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References
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Journal ArticleDOI

Dynamical study of fractional order mutualism parasitism food web module

TL;DR: In this article, the Atangana-Baleanu (AB) fractional order (FO) derivative has been proposed to use the essential information of the variables in the nonlocal systems.
Journal ArticleDOI

A reliable numerical algorithm for the fractional vibration equation

TL;DR: In this paper, a numerical algorithm for the solution of the fractional vibration equation (FVE) is proposed based on the applications of the operational matrices of the Legendre scaling functions.
Journal ArticleDOI

Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients

TL;DR: In this paper, the authors presented a computational method for the approximate solution of arbitrary-order non-linear fractional Riccati differential equations with variable coefficients, which is a combination of the operational matrix of integration method and the collocation method associated with the Jacobi polynomials.
Journal ArticleDOI

Modeling and numerical analysis of fractional-order Bloch equations

TL;DR: Numerical and simulation models (created for Matlab/Simulink) of the classical and the fractional-order Bloch equations are described and the behaviour and stability analysis of the Bloch equation are presented.
Journal ArticleDOI

Chaos control of integer and fractional orders of chaotic Burke–Shaw system using time delayed feedback control

TL;DR: In this paper, the authors investigated the control of chaotic Burke-Shaw system using Pyragas method and proved the linear stability and the existence of Hopf bifurcation of this system.
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